Parity-invariant 3d CFTs gapped by a magnetic field satisfy c0 <= 0 and additional Wilson-coefficient bounds from dispersion relations, implying diamagnetism and positive background-monopole scaling dimensions.
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms
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In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the Hodge Laplacian on differential forms, and discuss similarities and differences of this new ``magnetic-type'' operator.
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Magnetised Bounds for Conformal Field Theories
Parity-invariant 3d CFTs gapped by a magnetic field satisfy c0 <= 0 and additional Wilson-coefficient bounds from dispersion relations, implying diamagnetism and positive background-monopole scaling dimensions.